Question

For a symmetrical distribution:

a) β1 >0 b) β1 <0 c) β1 =0 d) β1 =3​

Answer 1

Answer:

For a symmetrical distribution:

a) β1 >0 b) β1 <0 c) β1 =0 d) β1 =3isyouran

Answer 2

Answer:

The correct answer is option (c) β₁ = 0

For a symmetrical distribution, β₁ = 0

Step-by-step explanation:

Symmetrical distribution:

• The symmetry of a distribution can be found by the concept of skewness.

• Skewness means lack of symmetry.

• A distribution is said to be symmetrical when the values are uniformly distributed around the mean.

• In a symmetrical distribution the mean, median, and mode coincide, that is, mean = median = mode.

• The skewness of a distribution can be found using the Beta coefficient, given by, $\beta_{1} = \frac{\mu_{3} ^{2} }{\mu_{2} ^{3} }$ where $\mu_{2}$ and $\mu_{3}$ are second and third central moments.

• If β₁ = 0, the distribution is symmetric.

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